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Консультация № 196807
25.10.2019, 15:33
0.00 руб.
25.10.2019, 19:02
0
3
1
Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
Найти математическое ожидание a) M(X), b) дисперсию D(X), c)среднее квадратическое отклонение (X) дискретной случайной величины X по заданному закону распределения.
X 1 2 4 5
p 0,4 0,3 0,1 0,2
Спасибо.
Найти математическое ожидание a) M(X), b) дисперсию D(X), c)среднее квадратическое отклонение (X) дискретной случайной величины X по заданному закону распределения.
X 1 2 4 5
p 0,4 0,3 0,1 0,2
Спасибо.
Обсуждение
30.10.2019, 14:31
общий
это ответ
Здравствуйте, Женя!
Если дискретная случайная величина X принимает значения x[sub]1[/sub], x[sub]2[/sub],... x[sub]n[/sub] с вероятностью p[sub]1[/sub], p[sub]2[/sub],... p[sub]n[/sub] соответственно, то её основные моменты определяются по формулам:
В данном случае имеем x[sub]1[/sub] = 1, p[sub]1[/sub] = 0.4, x[sub]2[/sub] = 2, p[sub]2[/sub] = 0.3, x[sub]3[/sub] = 3, p[sub]3[/sub] = 0.1, x[sub]4[/sub] = 4, p[sub]4[/sub] = 0.2. Тогда
- математическое ожидание,
- дисперсия и
среднее квадратическое отклонение.
Если дискретная случайная величина X принимает значения x[sub]1[/sub], x[sub]2[/sub],... x[sub]n[/sub] с вероятностью p[sub]1[/sub], p[sub]2[/sub],... p[sub]n[/sub] соответственно, то её основные моменты определяются по формулам:
В данном случае имеем x[sub]1[/sub] = 1, p[sub]1[/sub] = 0.4, x[sub]2[/sub] = 2, p[sub]2[/sub] = 0.3, x[sub]3[/sub] = 3, p[sub]3[/sub] = 0.1, x[sub]4[/sub] = 4, p[sub]4[/sub] = 0.2. Тогда
- математическое ожидание,
- дисперсия и
среднее квадратическое отклонение.
5
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